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Finding the Third Proportional to 3,694.78 and 5,724.84

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Solution

The third proportional to 3,694.78 and 5,724.84 is: 8,870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.78 : 5,724.84 = 5,724.84 : x
  2. Step 2: Convert to fraction form
    3,694.78/5,724.84 = 5,724.84/x
  3. Step 3: Cross multiply
    3,694.78x = 5,724.84 × 5,724.84
  4. Step 4: Simplify right side
    3,694.78x = 32,773,835.96
  5. Step 5: Solve for x
    x = 32,773,835.96/3,694.78
  6. Step 6: Final answer
    x = 8,870.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.